WSKT 212 PAC

WSKT 212 PAC WSKT 212 PAC

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5. Die deursnit van ‘n besproeiingsvoor word getoon. Die vorm van die deursnit van die voor word gegee deur die vergelyking 2 x y = 6⋅ 1+ −8 met −17 , ≤ x ≤ 17 , 3 5.1. Bereken die breedte van die watervlak. 172 The cross-section of an irrigation ditch is shown. The shape of the crosssection of the ditch is given by the equation 2 x y = 6⋅ 1+ −8 with −17 , ≤ x ≤ 17 , . 3 Determine the width of the water level. 5.2 Bereken die diepte van die voor. Calculate the depth of the ditch. 6. Skryf die definisie van ‘n parabool neer in terme van die lokus van ‘n punt wat op ‘n sekere manier beweeg. 7. Skryf in standaardvorm, met ander woorde maak vir y die onderwerp 7.1 van die vergelyking en stel ‘n tabel van minstens 8 waardes op om die deel van die grafiek bo die X-as te teken deur punte te stip: 2 2 x y + = 1 16 25 Write down the definition of a parabola in terms of a locus which moves according to a certain law. Write in standard form, in other words, make y the subject of the equation and set up a table of at least 8 values in order to sketch the part of the graph above the X-axis by plotting points: 2 2 x y + = 1 16 25

7.2 2 2 x y − = 1 9 36 7.3 Ons weet dat die basiese ellips en sentrale hiperbool simmetries om die X-as is. Gebruik hierdie feit en teken die volledige grafieke (bo en onder die X-as) van die kegelsnitte in 7.1 en 7.2. 173 2 2 x y − = 1 9 36 We know that the basic ellipse and central hyperbola are symmetrical with respect to the X-axis. Use this fact and draw complete graphs (above as well as below the X-axis) of the conic sections in 7.1 and 7.2

5. Die deursnit van ‘n besproeiingsvoor<br />

word getoon. Die vorm van die<br />

deursnit van die voor word gegee<br />

deur die vergelyking<br />

2<br />

x<br />

y = 6⋅ 1+ −8 met −17 , ≤ x ≤ 17 ,<br />

3<br />

5.1. Bereken die breedte van die<br />

watervlak.<br />

172<br />

The cross-section of an irrigation ditch<br />

is shown. The shape of the crosssection<br />

of the ditch is given by the<br />

equation<br />

2<br />

x<br />

y = 6⋅ 1+ −8 with −17 , ≤ x ≤ 17 , .<br />

3<br />

Determine the width of the water level.<br />

5.2 Bereken die diepte van die voor. Calculate the depth of the ditch.<br />

6. Skryf die definisie van ‘n parabool<br />

neer in terme van die lokus van ‘n<br />

punt wat op ‘n sekere manier<br />

beweeg.<br />

7. Skryf in standaardvorm, met ander<br />

woorde maak vir y die onderwerp<br />

7.1<br />

van die vergelyking en stel ‘n tabel<br />

van minstens 8 waardes op om die<br />

deel van die grafiek bo die X-as te<br />

teken deur punte te stip:<br />

2 2<br />

x y<br />

+ = 1<br />

16 25<br />

Write down the definition of a parabola<br />

in terms of a locus which moves<br />

according to a certain law.<br />

Write in standard form, in other words,<br />

make y the subject of the equation<br />

and set up a table of at least 8 values<br />

in order to sketch the part of the graph<br />

above the X-axis by plotting points:<br />

2 2<br />

x y<br />

+ =<br />

1<br />

16 25

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